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7nadin3 [17]
2 years ago
7

Use the Zero Product Property to find the x-intercepts (roots) of the following quadratic equations. You MUST show all work for

full credit!
a. `y=(2x+7)(x-13)
Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
3 0

Answer:

x=-7/2, x=13

Step-by-step explanation:

2x+7=0

2x=-7

x=-7/2

x-13=0

x=13

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A company that produces ribbon has found that the marginal cost of producing x yards of fancy ribbon is given by Upper C prime l
denis-greek [22]

Answer:

Step-by-step explanation:

Given:

C_{(x)}=-0.00001x^{2}-0.02x+49

for x≤1400; N = 5

So, Δx = \frac{1400-0}{5} =280\\\\\int\limits^{1400}_0 {C(x)} \, dx=∑C(a + nΔx).Δx

=C(0)Δx + C(280)Δx + C(560)Δx + C(840)Δx + C(1120)Δx

= Δx[C(0) + C(280) + C(560) + C(840) + C(1120)]

= 280[49 + 42.616 + 34.664 + 25.144 + 14.056]

=280[165.48]

=46334 approx

8 0
2 years ago
A cube with 40-cm-long sides is sitting on the bottom of an aquarium in which the water is one meter deep. (Round your answers t
Molodets [167]

Answer:

940.8 N

1254.4 N

Step-by-step explanation:

I would think the questions would be to calculate the forces at the top of the cube and at the sides. Thus:

On the top:

F = pressure * area

P = density * gravity * height

the height would be:

1m - 0.4m = 0.6m

replacing:

P = 1000 * 9.8 * 0.6 = 5880

A = (0.4) ^ 2 = 0.16

F = 5880 * 0.16

F = 940.8 N

On the sides:

dF = d * g * h * dA

dA = 0.4 * dh replacing

dF = 1000 * 9.8 * h * 0.4 * dh

dF = 3920 * h * dh

We integrate both sides and we have:

F = 3920 * (h ^ 2/2), h = 0.6 up to h = 1

F = (3920/2) * (1 ^ 2 - 0.6 ^ 2)

F = 1254.4 N

3 0
3 years ago
Whats the value of 3√64
d1i1m1o1n [39]
4 because 4 time 4 time 4 is equal to 64
8 0
3 years ago
If two of the four expressions x + y, x + 5y, x – y, and 5x – y are chosen at random, what is the probability that their product
storchak [24]

Answer:

  1/6

Step-by-step explanation:

The product will only be of the required form if the two chosen factors are of the form (x +by) and (x -by).

For the factor (x+y), there is also a factor (x-y) on the list. For the factor (x+5y), there is no factor (x-5y) available.

So, of the (4·3)/2 = 6 possible ways to choose two expressions from the four given expressions, only one pair of the 6 will have a product of the required form.

The probability is 1/6.

8 0
3 years ago
Need help on this one too ​
KiRa [710]

I think it's none because that should be communitive and that's not there so.

4 0
2 years ago
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